They generally can't spend Element Markers to boost the Powers of other Spirits, even if those Powers involving Shifting Memory of Ages making choices, since using a Power is the action of the Spirit targeting the Power, not the Spirit being targeted.
To cover some of the more unusual cases:
- Intensify can spend Element markers on actions granted to it by other Spirits to use at a later point in the turn, like adding a Disease with Scream Disease Into the Wind or doing Damage with Gift of the Sparking Sky.
- Intensify can spend a Fire marker on a Ritual of Destroying Flame.
- Intensify can't spend Element markers on benefits that aren't actions, like the ongoing defense from Bargains of Power and Protection.